GCD of 305, 700, 54, 226 Calculator

Given Input numbers are 305, 700, 54, 226

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 305, 700, 54, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 700, 54, 226 is 1.

Therefore, GCD of numbers 305, 700, 54, 226 is 1

Given Input Data is 305, 700, 54, 226

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 305 is 5 x 61

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 226 is 2 x 113

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(305, 700) = 42700

GCD(305, 700) = ( 305 x 700 ) / 42700

GCD(305, 700) = 213500 / 42700

GCD(305, 700) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 54

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 54) = 270

GCD(5, 54) = ( 5 x 54 ) / 270

GCD(5, 54) = 270 / 270

GCD(5, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 305, 700, 54, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 785, 82, 640
• GCD of 911, 732, 22, 725
• GCD of 985, 890, 41, 790
• GCD of 960, 225, 90, 837
• GCD of 375, 488, 21, 769

1. What is the GCD of 305, 700, 54, 226?

GCD of 305, 700, 54, 226 is 1

2. Where do I get the detailed procedure to find GCD of 305, 700, 54, 226?

You can find a detailed procedure to find GCD of 305, 700, 54, 226 on our page.

3. How to find GCD of 305, 700, 54, 226 on a calculator?

You can find the GCD of 305, 700, 54, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.